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Finding the Third Proportional to 56,905 and 86,140

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Solution

The third proportional to 56,905 and 86,140 is: 130,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,905 : 86,140 = 86,140 : x
  2. Step 2: Convert to fraction form
    56,905/86,140 = 86,140/x
  3. Step 3: Cross multiply
    56,905x = 86,140 × 86,140
  4. Step 4: Simplify right side
    56,905x = 7,420,099,600
  5. Step 5: Solve for x
    x = 7,420,099,600/56,905
  6. Step 6: Final answer
    x = 130,394.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.